What is the answer to (1-3x)/4 =2x-3(x-1/2) ?

The answer to (1-3x)/4 =2x-3(x-1/2) is x=5

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(1-3x)/4 =2x-3(x-1/2)

\frac{1 - 3 x}{4} = 2 x - 3 (x - \frac{1}{2})

x = 5

Solution steps

\frac{1 - 3 x}{4} = 2 x - 3 (x - \frac{1}{2})

Multiply both sides by

4

1 - 3 x = 8 x - 12 (x - \frac{1}{2})

Expand

- 12 (x - \frac{1}{2}) : - 12 x + 6

1 - 3 x = 8 x - 12 x + 6

Add similar elements:

8 x - 12 x = - 4 x

1 - 3 x = - 4 x + 6

Move

1

to the right side

- 3 x = - 4 x + 5

Move

4 x

to the left side

x = 5

12 x + 12 = 0

\frac{3}{4} (x - 8) = 12

3 x + 11 - 7 x = 1

5 x - 4 = \frac{2 - x}{2}

3 (x - 2) - 1 = 2 [x - 5 (x + 4)]

What is the answer to (1-3x)/4 =2x-3(x-1/2) ?
The answer to (1-3x)/4 =2x-3(x-1/2) is x=5
Solve for x: (1-3x)/4 =2x-3(x-1/2)
The solution is x=5